摘要
本文研究了拟概率空间上收敛概念之间的关系这一问题.利用类比的方法,在拟概率空间上提出了一些新的关于拟-随机变量的收敛概念并讨论了这些收敛概念之间的关系,获得了模糊测度下的收敛理论,推广了关于经典测度的收敛概念.
In this paper, we investigate the relationships among the convergence concepts on quasi-probability space. By using analogy method, some new convergence concepts for quasirandom variables are proposed on quasi-probability space and the relationships among the convergence concepts are discussed. Convergence theory about fuzzy measure is obtained, and all conclusions are natural extensions of the classical convergence concepts to the case where the measure tool is fuzzy.
出处
《数学杂志》
北大核心
2017年第5期999-1006,共8页
Journal of Mathematics
基金
Supported by National Nature Science Foundation of China(61375075)
Natural Science Foundation of Hebei Province,China(A2014201166)
Natural Science Foundation of Hubei University(799207217073)
关键词
拟概率测度
收敛理论
收敛概念
拟-随机变量
quasi-probability measure
convergence theory
convergence concept
quasirandom variables
